Question

How many formula of complex can form more than two optically active isomers (where M is metal ion, a, b, c, d, e, f are monodentate ligands and AA, AB are bidentate symmetrical and unsymmetrical ligands respectively)

• A. [Ma$_3$bcd]
• B. [Ma$_2$b$_2$c$_2$]
• C. [Ma$_2$b$_2$cd]
• D. [Ma$_2$bcde]
• E. [Mabcdef]
• F. [M(AA)$_2$a$_2$]
• G. [M(AA)a$_2$b$_2$]
• H. [M(AA)a$_2$bc]
• I. [M(AB)$_3$]

Answer 1

Answer: (A), (C), (D), (E), (H)

5

Answer 2

The question asks to identify coordination complexes that can form more than two optically active isomers. A complex is optically active if it is chiral. We evaluate each complex formula for optical activity:

1. [Ma$_3$bcd]: Forms 6 optically active isomers. (Qualifies)
2. [Ma$_2$b$_2$c$_2$]: Forms 0 optically active isomers. (Does not qualify)
3. [Ma$_2$b$_2$cd]: Forms 4 optically active isomers. (Qualifies)
4. [Ma$_2$bcde]: Forms 6 optically active isomers. (Qualifies)
5. [Mabcdef]: Forms 30 optically active isomers. (Qualifies)
6. [M(AA)$_2$a$_2$]: Forms 2 optically active isomers (from cis isomer). (Does not qualify as it's not more than two)
7. [M(AA)a$_2$b$_2$]: Forms 2 optically active isomers. (Does not qualify)
8. [M(AA)a$_2$bc]: Forms 4 optically active isomers. (Qualifies)
9. [M(AB)$_3$]: Forms 2 optically active isomers (from cis isomer). (Does not qualify)

The complexes that form more than two optically active isomers are [Ma$_3$bcd], [Ma$_2$b$_2$cd], [Ma$_2$bcde], [Mabcdef], and [M(AA)a$_2$bc]. There are 5 such complexes.